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Finding the Fourth Proportional to 894.21, 1,340.82 and 277.74

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Solution

The fourth proportional to 894.21, 1,340.82 and 277.74 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.21 : 1,340.82 = 277.74 : x
  2. Step 2: Convert to fraction form
    894.21/1,340.82 = 277.74/x
  3. Step 3: Cross multiply
    894.21x = 1,340.82 × 277.74
  4. Step 4: Simplify right side
    894.21x = 372,405.42
  5. Step 5: Solve for x
    x = 372,405.42/894.21
  6. Step 6: Final answer
    x = 416.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.